Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

A rectangle has its longer side 2 cm greater than its shorter side. Its area is 80 cm2. Find the perimeter of the rectangle (in cm).

Options:

40

38

36

32

Correct Answer:

36

Explanation:

Short side = S

Long side = L

L = S+2

Area = L*S = (S+2)*S = S2 + 2S = 80

S2 + 2S - 80 = 0

S2 + 10S - 8S - 80 = 0

S(S+10)-8(S+10) = 0

S = 8

L = 10

Perimeter = 2*(10+8) = 36

The correct answer is Option (3) → 36